# How do you solve -abs(x+1)=-2?

Jul 8, 2015

$x = 1$
or
$x = - 3$

#### Explanation:

If $- \left\mid x + 1 \right\mid = - 2$ then
$\textcolor{w h i t e}{\text{XXXX}}$$\left\mid x + 1 \right\mid = 2$

Case 1: $x + 1 \ge 0$
In this case $\left\mid x + 1 \right\mid = 2$

$\Rightarrow x = 1$

Case 2: $\left(x + 1\right) < 0$
In this case $\left\mid x + 1 \right\mid = 2$
is the same as $\left(- x - 1\right) = 2$
$\Rightarrow x = - 3$